Let C 1 and C 2 be two biased coins such that the probabilities of getting head in a…
Mathematics · JEE Advanced · NTA Exams — Statistics and Probability
Let C1 and C2 be two biased coins such that the probabilities of getting head in a single toss are 2/3 and 1/3, respectively. Suppose α is the number of heads that appear when C1 is tossed twice, independently, and suppose β is the number of heads that appear when
C2 is tossed twice, independently. Then the probability that the roots of the quadratic polynomial x2 − αx + β are real and equal, is
C2 is tossed twice, independently. Then the probability that the roots of the quadratic polynomial x2 − αx + β are real and equal, is
Answer
(B)
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- A student appears for tests I, II and III. The student is successful if he passes either in tests I and II or…
- For the three events A , B , C, P (exactly one of A or B occurs) = P (Exactly one of B or C occurs) = P…
- Three students S 1 , S 2 , and S 3 are given a problem to solve. Consider the following events: U : At least…
- A purse contains 2 six sided dice. One is a normal fair die, while the other has 2 ones, 2 threes, and 2…
- Lot A consists of 3G and 2D articles. Lot B consists of 4G and 1D article. A new lot C is formed by taking 3…
- Let E , F and G be three events having probabilities ext and let P(E F G)= 1 10 . For any event H , if H c…
- E and F are two independent events. The probability that both E and F happen is 1/12 and the probability that…
- A JEE aspirant estimates that she will be successful with an 80 percent chance if she studies 10 hours per…
More Statistics and Probability questions · Browse all practice questions